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Finding the Third Proportional to 3,180.94 and 4,676.44

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Solution

The third proportional to 3,180.94 and 4,676.44 is: 6,875.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,180.94 : 4,676.44 = 4,676.44 : x
  2. Step 2: Convert to fraction form
    3,180.94/4,676.44 = 4,676.44/x
  3. Step 3: Cross multiply
    3,180.94x = 4,676.44 × 4,676.44
  4. Step 4: Simplify right side
    3,180.94x = 21,869,067.69
  5. Step 5: Solve for x
    x = 21,869,067.69/3,180.94
  6. Step 6: Final answer
    x = 6,875.04

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.